What is the Greatest Common Factor of 24612 and 24626?

Greatest common factor (GCF) of 24612 and 24626 is 14.

GCF(24612,24626) = 14

We will now calculate the prime factors of 24612 and 24626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24612 and 24626.

How to find the GCF of 24612 and 24626?

We will first find the prime factorization of 24612 and 24626. After we will calculate the factors of 24612 and 24626 and find the biggest common factor number .

Step-1: Prime Factorization of 24612

Prime factors of 24612 are 2, 3, 7, 293. Prime factorization of 24612 in exponential form is:

24612 = 2² × 3¹ × 7¹ × 293¹

Step-2: Prime Factorization of 24626

Prime factors of 24626 are 2, 7, 1759. Prime factorization of 24626 in exponential form is:

24626 = 2¹ × 7¹ × 1759¹

Step-3: Factors of 24612

List of positive integer factors of 24612 that divides 24612 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 293, 586, 879, 1172, 1758, 2051, 3516, 4102, 6153, 8204, 12306

Step-4: Factors of 24626

List of positive integer factors of 24626 that divides 24612 without a remainder.

1, 2, 7, 14, 1759, 3518, 12313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24612 and 24626. The biggest common factor number is the GCF number.
So the greatest common factor 24612 and 24626 is 14.

Also check out the Least Common Multiple of 24612 and 24626